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Finding the Fourth Proportional to 5,152.28, 7,109.50 and 3,056

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Solution

The fourth proportional to 5,152.28, 7,109.50 and 3,056 is: 4,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.28 : 7,109.50 = 3,056 : x
  2. Step 2: Convert to fraction form
    5,152.28/7,109.50 = 3,056/x
  3. Step 3: Cross multiply
    5,152.28x = 7,109.50 × 3,056
  4. Step 4: Simplify right side
    5,152.28x = 21,726,632
  5. Step 5: Solve for x
    x = 21,726,632/5,152.28
  6. Step 6: Final answer
    x = 4,216.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.